First ask yourself why you want to connect your TiVo to your router. It's not necessary for the vast majority of TiVo function. TiVo has its own internet connection which is separate from your broadband.
Yes good question. I was thinking I could use the router to transmit the TV signal to the TV but perhaps via powerline; too optimistic?
I see from the diagram that the fibre optic cable splits before it goes to the router so one cable goes from the wall (incoming signal) to router and the other from wall to TIVO. The router and the incoming signal are in the same room.
Option 1 I can connect the signal to the TIVO box in the same room but I still then have to get the signal to the TV without a cable and if the TIVO and the TV are not in the same room I would have trouble changing channels.
Option 2, following the inference of your question, I want to take the signal from where it comes in at the wall and transmit it wirelessly through the house to the TIVO box and thence tot he TV. Can this be done and if so how?
You are right from the point of view of benefiting from the extra TIVO channels the best solution is to install a cable but we do not want a cable running through the house and if a cable is required to receive the extra channels we will choose not to have the cable, the TIVO or the channels.
Thanks everyone for your advice. I tried a TV sender / receiver but it didn't really work. The picture quality was poor, to get any signal the receiver had to be out in the corridor and we couldn't change the channel without going in the other room, so I took it back and decided to live without the extra TV.